LU Decomposition and Its Applications
CLUDE: An Efficient Algorithm for LU Decomposition Over a Sequence of Evolving Graphs
... many applications, entities and their relationships are represented by ...and its associated sequence of evolving matrices. We study how LU-decomposition should be done over the sequence so ...
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Sparse Localization with a Mobile Beacon Based on LU Decomposition in Wireless Sensor Networks
... Due to the constraints of cost and power consump- tion, it is impractical to equip all sensor nodes with global positioning system (GPS) devices. However, it is feasible to equip GPS for few nodes called beacons, in ...
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Singular value decomposition and its applications
... and its algorithm, coupled with its stability, has proved that the SVD is a pm·terful technique in the study of theoretical and computational numerical ...
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The Birkhoff-von Neumann Decomposition and its Applications.
... σ r (A)σ r (B ) Thus we have shown that |tr(AB)| ≤ P n r,s=1 σ r (A)σ r (B) and have proven the theorem. This result, which gives a bound on the trace of a matrix product with respect to singular values, has several ...
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A LOCAL MEAN OSCILLATION DECOMPOSITION AND SOME ITS APPLICATIONS
... M λ # ( |f| r )(x) ≤ 2M λ # f (x) r . Combining this estimate with the proved case p = 1, we obtain (4.3) for 0 < p < 1. Remark 4.3. Observe that our approach does not allow to obtain the sharp John-Str¨ omberg ...
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Well-Separated Pair Decomposition for the Unit-disk Graph Metric and its Applications
... Well-Separated Pair Decomposition for the Unit-disk Graph Metric and its Applications.. Jie Gao?[r] ...
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Well-Separated Pair Decomposition for the Unit-Disk Graph Metric and Its Applications
... For a point set S in the plane, its unit-disk graph [12] is formed by connecting two points p, q in S if the Euclidean distance d(p, q) is at most 1. A unit-disk graph can also be viewed as the intersection graph ...
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Stimulated decomposition in peat for engineering applications
... stimulated decomposition of fibrous peat deposits in advance of the main construction works may reduce secondary compression settlement, which often exceeds primary consolidation settlement in peat, thereby poten- ...
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Score-Informed Audio Decomposition and Applications
... 3.1 User Interface Besides standard audio player functionalities, our interface comes with a set of additional tools related to the score-informed audio de- composition introduced in the previous section. In its ...
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Applications of Wavelet Transform and Tensor Decomposition
... Hyperspectral imaging provides a unique spectral signature of every pixel, which can be used by the processing techniques and allows more spectral-spatial models for more accurate classification of images. Hyperspectral ...
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Advances in Functional Decomposition: Theory and Applications
... BDD-based decomposition algorithms following cut-strategy proved to be orders of magnitude faster than those based on decomposition charts and cube ...from its BDD and applying ...the ...
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Statistical Properties and Applications of Empirical Mode Decomposition
... In chapter 4, we presented the second application of EMD for signal detection in cogni- tive radio networks. In that chapter, the first IMF is utilized to propose a spectrum sensing method that can make a decision of ...
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Applications of adomian decomposition method for wave equations
... Suppose we want to consider a horizontal string of length L that has been tightly stretched between two points at and . Because the string has been tightly stretched we can assume that the slope of the displaced string ...
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The Core Decomposition of Networks: Theory, Algorithms and Applications
... core decomposition of networks has attracted significant attention due to its numerous appli- cations in real-life ...core decomposition of a network (graph) assigns to each graph node v, an integer ...
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Matrix Decomposition and Its Application in Statistics NK
... numerical metho)s, its computation an) some of its applications. Decompositions Decompositions provi)e provi)e a a numerically numerically sta!le sta!le &ay &ay to to solve solve a system of linear ...
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Decomposition Algorithms in Stochastic Integer Programming: Applications and Computations.
... 4. Standard-Gamble consistency: Suppose X = [p : M, 1 − p : m], Y = [λ : α, 1 − λ : C], and Z = [λ : X, 1 − λ : C], then we have: α ∼ X implies Y ∼ Z. (1.17) If any of the properties above is not satisfied, then ...
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Embedding rainbow trees with applications to graph labelling and decomposition
... Abstract A subgraph of an edge-coloured graph is called rainbow if all its edges have distinct colours. The study of rainbow subgraphs goes back more than two hundred years to the work of Euler on Latin squares. ...
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Numerical Analysis of Different Kind of Modal Decomposition Applications
... Calculating the modal amplitudes of the structure fixed at its base we can calculate the displacement vector of interface nodes and using this vector we will get the displacement vector of structural nodes too. ...
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-4- Algorithm Fast LU Decomposition
... The main result in this paper is negative, in that we show that one cannot unify exact divi- sion methods in computational algebra such as the Exact Division Gaussian elimination or the Subresultant PRS algorithm with ...
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A robust LU polynomial matrix decomposition for spatial multiplexing
... Then, a combination of both solutions results in an LU-based polynomial matrix decomposition approach for MIMO spatial multiplexing in which the noise amplification is now avoided.. Fina[r] ...
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